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Finding the Third Proportional to 389,472 and 839,712

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Solution

The third proportional to 389,472 and 839,712 is: 1,810,441.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,472 : 839,712 = 839,712 : x
  2. Step 2: Convert to fraction form
    389,472/839,712 = 839,712/x
  3. Step 3: Cross multiply
    389,472x = 839,712 × 839,712
  4. Step 4: Simplify right side
    389,472x = 705,116,242,944
  5. Step 5: Solve for x
    x = 705,116,242,944/389,472
  6. Step 6: Final answer
    x = 1,810,441.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.